KLEIN-GORDON

作品数：198被引量：185H指数：6
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Adomian Decomposition Method for Solving Fractional Time-Klein-Gordon Equations Using Maple
《Applied Mathematics》2023年第6期411-418,共8页Dalal Albogami Dalal Maturi Hashim Alshehri 
Adomian decomposition is a semi-analytical approach to solving ordinary and partial differential equations. This study aims to apply the Adomian Decomposition Technique to obtain analytic solutions for linear and nonl...
关键词：Adomian Decomposition KLEIN-GORDON Fractional Calculus 
Lie Symmetries of Klein-Gordon and Schrodinger Equations
《Applied Mathematics》2018年第3期336-346,共11页Muhammad Iqbal Yufeng Zhang 
supported by the National Natural Science Foundation of China(Grant No.11371361);the Innovation Team of Jiangsu Province hosted by China University of Mining and Technology(2014);the Key Discipline Construction by China University of Mining and Technology(Grant No.XZD 201602).
In this paper, we investigate the Lie point symmetries of Klein-Gordon equation and Schr?dinger equation by applying the geometric concept of Noether point symmetries for the below defined Lagrangian. Moreover, we org...
关键词：Lie symmetries of Klein-Gordon Equation Lie Symmetries of Schrodinger Equation Noether Point Symmetries Of Conformal Lagrangian sl(2 R)Algebra Oscillator System 
Approximate Solution of Non-Linear Fractional Klein-Gordon Equation Using Spectral Collocation Method
《Applied Mathematics》2015年第13期2175-2181,共7页Rubayyi T. Alqahtani 
In this paper, we implement the spectral collocation method with the help of the Legendre poly-nomials for solving the non-linear Fractional (Caputo sense) Klein-Gordon Equation (FKGE). We present an approximate formu...
关键词：FRACTIONAL KLEIN-GORDON EQUATION LEGENDRE SPECTRAL Method 
Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation被引量：1
《Applied Mathematics》2015年第3期617-628,共12页Amr M. S. Mahdy Adel S. Mohamed Ahmad A. H. Mtawa 
This paper extends the homotopy perturbation Sumudu transform method (HPSTM) to solve linear and nonlinear fractional Klein-Gordon equations. To illustrate the reliability of the method, some examples are presented. T...
关键词：Mittag-Leffler Functions Caputo DERIVATIVE Sumudu TRANSFORM HOMOTOPY PERTURBATION Method KLEIN-GORDON Equation 
Associative Space-Time Sedenions and Their Application in Relativistic Quantum Mechanics and Field Theory
《Applied Mathematics》2015年第1期46-56,共11页Victor L. Mironov Sergey V. Mironov 
We present an alternative sixteen-component hypercomplex scalar-vector values named “space-time sedenions”, generating associative noncommutative space-time Clifford algebra. The generalization of relativistic quant...
关键词：CLIFFORD Algebra SPACE-TIME Sedenions Relativistic Quantum Mechanics Sedenionic KLEIN-GORDON EQUATION Sedenionic Dirac EQUATION Sedenionic Maxwell Equiations 
Reformulation of Relativistic Quantum Mechanics Equations with Non-Commutative Sedeons被引量：1
《Applied Mathematics》2013年第10期53-60,共8页Victor L. Mironov Sergey V. Mironov 
We present sixteen-component values “sedeons”, generating associative non-commutative space-time algebra. The generalized relativistic wave equations based on sedeonic wave function and space-time operators are prop...
关键词：CLIFFORD Algebra Sedeons Relativistic Quantum Mechanics Sedeonic KLEIN-GORDON and DIRAC EQUATIONS 
Numerical Solution of Nonlinear Klein-Gordon Equation Using Lattice Boltzmann Method被引量：1
《Applied Mathematics》2011年第12期1479-1485,共7页Qiaojie Li Zong Ji Zhoushun Zheng Hongjuan Liu 
In this paper, in order to extend the lattice Boltzmann method to deal with more nonlinear equations, a one-dimensional (1D) lattice Boltzmann scheme with an amending function for the nonlinear Klein-Gordon equation i...
关键词：LATTICE BOLTZMANN Chapman-Enskog EXPANSION Nonlinear KLEIN-GORDON Equation 
Orbital Stability of Solitary Waves for Generalized Klein-Gordon-Schrodinger Equations
《Applied Mathematics》2011年第8期1005-1010,共6页Wenhui Qi Guoguang Lin 
This paper concerns the orbital stability for exact solitary waves of the Generalized Klein-Gordon-Schrod-inger equations. Since the abstract results of Grillakis et al[1-2] can not be applied directly, we can extend ...
关键词：SOLITARY WAVES Stability Klein-Gordon-Schrodinger Equations 
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